Vedic maths

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this is not mine,this is from vedic-mathematics.com

this is not mine,this is from vedic-mathematics.com

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  • 1. Page 1 of 18 Copyright Notice This e-book is free!This publication is protected by international copyright laws. You have theauthor’s permission to transmit this ebook and use it as a gift or as part ofyour advertising campaign. However you CANNOT charge for it, nor canyou edit its contents. The author’s contact details must stay in tact in boththe footer and header pages.http://www.memorymentor.com/© Memorymentor 2006. All Rights Reserved. http://www.memorymentor.com/ © Memorymentor 2006. All Rights Reserved. Maths Tips and Tricks to Improve Your Math Abilities
  • 2. Page 2 of 18 Contents1. Multiplying By 112. Is it divisible By 4?3. Multiplying By 12 Shortcut4. Converting Kilos to Pounds5. Adding Time6. Converting Celsius to Fahrenheit7. 5 Squared Shortcut8. Decimal Equivalents of Fractions9. Kilometres to Miles10. About Memorymentor.com http://www.memorymentor.com/ © Memorymentor 2006. All Rights Reserved. Maths Tips and Tricks to Improve Your Math Abilities
  • 3. Page 3 of 18 Multiplying by 11 shortcutThis technique teaches you how to multiply any number by eleven, easily and quickly.We will take a few examples and from these you will see the pattern used and also howeasy they are to do.So, to begin let’s try 12 time 11.First things first you will ignore the 11 for the moment and concentrate on the 12.Split the twelve apart, like so: 1 2Add these two digits together 1 + 2 = 3 1+2 = 3Place the answer, 3 in between the 12 to give 132 11 X 12 = 132 http://www.memorymentor.com/ © Memorymentor 2006. All Rights Reserved. Maths Tips and Tricks to Improve Your Math Abilities
  • 4. Page 4 of 18Let’s try another:48 X 11again, leave the 11 alone for a moment and work with the 48 4 + 8 = 12So now we have to put the 12 in between the 4 and 8 but don’t do this:4128 as that is wrong...First, do this: Place the 2 from the twelve in between the 4 and 8 giving 428.Now we need to input the 1 from the twelve into our answer also, and to do this just addthe one from 12 to the 4 of 428 giving 528!Ok, one more74 X 11 7+4 = 117 (put the 1 from the right of 11 in) and 4then add the 1 from the left of 11 to the 774 X 11 = 814This is a really simple method and will save you so much time with your 11 times tables. http://www.memorymentor.com/ © Memorymentor 2006. All Rights Reserved. Maths Tips and Tricks to Improve Your Math Abilities
  • 5. Page 5 of 18 Is it divisible by four?This little math trick will show you whether a number is divisible by four or not.So, this is how it works.Lets look at 1234Does 4 divide evenly into 1234?For 4 to divide into any number we have to make sure that the last number is even.If it is an odd number, there is no way it will go in evenly.So, for example, 4 will not go evenly into 1233 or 1235now we know that for 4 to divide evenly into any number the number has to end with aneven number.Back to the question...4 into 1234, the solution:Take the last number and add it to 2 times the second last number. If 4 goes evenlyinto this number then you know that 4 will go evenly into the whole number.So4 + (2 X 3) = 104 goes into 10 two times with a remainder of 2 so it does not go in evenly.Therefore 4 into 1234 does not go in completely.Let’s try 4 into 3436546So, from our example, take the last number, 6 and add it to two times the penultimatenumber, 46 + (2 X 4) = 144 goes into 14 three times with two remainder.So it doesnt go in evenly. http://www.memorymentor.com/ © Memorymentor 2006. All Rights Reserved. Maths Tips and Tricks to Improve Your Math Abilities
  • 6. Page 6 of 18Lets try one more.4 into 2123344366 + (2 X 3) = 124 goes into 12 three times with 0 remainder.Therefore 4 goes into 234436 evenly.So what use is this trick to you?Well if you have learnt the tutorial at Memorymentor.com about telling the day in anyyear, then you can use it in working out whether the year you are calculating is a leapyear or not. http://www.memorymentor.com/ © Memorymentor 2006. All Rights Reserved. Maths Tips and Tricks to Improve Your Math Abilities
  • 7. Page 7 of 18 Multiplying by 12 shortcutSo how does the 12s shortcut work?Lets take a look.12 X 7the first thing is to always multiply the 1 of the twelve by the number we are multiplyingby, in this case 7. So 1 X 7 = 7.Multiply this 7 by 10 giving 70. (Why? We are working with BASES here. Bases are thefundamentals to easy calculations for all multiplication tables. To find out more check outour Vedic Maths ebook at http://www.memorymentor.com/big_brain.htm)Now multiply the 7 by the 2 of twelve giving 14. Add this to 70 giving 84.Therefore 7 X 12 = 84Lets try another:17 X 12Remember, multiply the 17 by the 1 in 12 and multiply by 10(Just add a zero to the end):1 X 17 = 17, multiplied by 10 giving 170.Multiply 17 by 2 giving 34.Add 34 to 170 giving 204.So 17 X 12 = 204lets go one more24 X 12Multiply 24 X 1 = 24. Multiply by 10 giving 240.Multiply 24 by 2 = 48. Add to 240 giving us 28824 X 12 = 288 (these are Seriously Simple Sums to do aren’t they?!) http://www.memorymentor.com/ © Memorymentor 2006. All Rights Reserved. Maths Tips and Tricks to Improve Your Math Abilities
  • 8. Page 8 of 18 Converting Kilos to poundsIn this section you will learn how to convert Kilos to Pounds, and Vice Versa.Let’s start off with looking at converting Kilos to pounds. 86 kilos into pounds:Step one, multiply the kilos by TWO.To do this, just double the kilos.86 x 2 = 172Step two, divide the answer by ten.To do this, just put a decimal point one place in from the right.172 / 10 = 17.2Step three, add step two’s answer to step one’s answer.172 + 17.2 = 189.286 Kilos = 189.2 pounds http://www.memorymentor.com/ © Memorymentor 2006. All Rights Reserved. Maths Tips and Tricks to Improve Your Math Abilities
  • 9. Page 9 of 18Let’s try:50 Kilos to pounds:Step one, multiply the kilos by TWO.To do this, just double the kilos.50 x 2 = 100Step two, divide the answer by ten.To do this, just put a decimal point one place in from the right.100 / 10 = 10Step three, add step two’s answer to step one’s answer.100 + 10 = 11050 Kilos = 110 pounds http://www.memorymentor.com/ © Memorymentor 2006. All Rights Reserved. Maths Tips and Tricks to Improve Your Math Abilities
  • 10. Page 10 of 18 Adding TimeHere is a nice simple way to add hours and minutes together:Lets add 1 hr and 35 minutes and 3 hr 55 minutes together.What you do is this:make the 1 hr 35 minutes into one number, which will give us 135 and do the same forthe other number, 3 hours 55 minutes, giving us 355Now you want to add these two numbers together:135355____490So we now have a sub total of 490.What you need to do to this and all sub totals is add the time constant of 40.No matter what the hours and minutes are, just add the 40 time constant to the subtotal.490 + 40 = 530so we can now see our answer is 5 hrs and 30 minutes! http://www.memorymentor.com/ © Memorymentor 2006. All Rights Reserved. Maths Tips and Tricks to Improve Your Math Abilities
  • 11. Page 11 of 18 Temperature ConversionsThis is a shortcut to convert Fahrenheit to Celsius and vice versa.The answer you will get will not be an exact one, but it will give you an idea of thetemperature you are looking at.Fahrenheit to Celsius:Take 30 away from the Fahrenheit, and then divide the answer by two. This is youranswer in Celsius.Example:74 Fahrenheit - 30 = 44. Then divide by two, 22 Celsius.So 74 Fahrenheit = 22 Celsius.Celsius to Fahrenheit just do the reverse:Double it, and then add 30.30 Celsius double it, is 60, then add 30 is 9030 Celsius = 90 FahrenheitRemember, the answer is not exact but it gives you a rough idea. http://www.memorymentor.com/ © Memorymentor 2006. All Rights Reserved. Maths Tips and Tricks to Improve Your Math Abilities
  • 12. Page 12 of 18 5 Squared ShortcutHere is a really quick way to square any number with a 5 on the end.Let’s takeOk, so what you have to do is split up the numbers, giving you AndForget about the for the moment and do this:Always add 1, adding 1 to the 4, so we get 4 + 1 = 5Then multiply this answer, 5, by the original first number, 45 X 4 = 20So what you have is 20 andEveryone knows = 25 right? Well it does. This is what makes it easy.Put the two answers together and thats the answer!2025This works for any number ending in but when the numbers get over 100 it tends to geta little trickier with the multiplication.Give it a try with another number.Try , it isnt difficult. http://www.memorymentor.com/ © Memorymentor 2006. All Rights Reserved. Maths Tips and Tricks to Improve Your Math Abilities
  • 13. Page 13 of 18Split the numbers apart:8 andAgain, forget about theAdd 1 to 88+1=9Multiply 9 by the first number, which was 89 X 8 =72Now, put all the numbers together, 72 and = 25So the answer is 7225Try it out in a calculator once you have done it. http://www.memorymentor.com/ © Memorymentor 2006. All Rights Reserved. Maths Tips and Tricks to Improve Your Math Abilities
  • 14. Page 14 of 18 Decimals Equivalents of FractionsWith a little practice, its not hard to recall the decimal equivalents of fractions up to10/11!First, there are 3 you should know already:1/2 = .51/3 = .333...1/4 = .25Starting with the thirds, of which you already know one:1/3 = .333...2/3 = .666...You also know 2 of the 4ths, as well, so theres only one new one to learn:1/4 = .252/4 = 1/2 = .53/4 = .75Fifths are very easy. Take the numerator (the number on top), double it, and stick adecimal in front of it.1/5 = .22/5 = .43/5 = .64/5 = .8There are only two new decimal equivalents to learn with the 6ths:1/6 = .1666...2/6 = 1/3 = .333...3/6 = 1/2 = .54/6 = 2/3 = .666...5/6 = .8333...What about 7ths? Well come back to them at the end. Theyre very unique.8ths arent that hard to learn, as theyre just smaller steps than 4ths. If you have troublewith any of the 8ths, find the nearest 4th, and add .125 if needed: http://www.memorymentor.com/ © Memorymentor 2006. All Rights Reserved. Maths Tips and Tricks to Improve Your Math Abilities
  • 15. Page 15 of 181/8 = .1252/8 = 1/4 = .253/8 = .3754/8 = 1/2 = .55/8 = .6256/8 = 3/4 = .757/8 = .8759ths are almost too easy:1/9 = .111...2/9 = .222...3/9 = .333...4/9 = .444...5/9 = .555...6/9 = .666...7/9 = .777...8/9 = .888...10ths are very easy, as well. Just put a decimal in front of the numerator:1/10 = .12/10 = .23/10 = .34/10 = .45/10 = .56/10 = .67/10 = .78/10 = .89/10 = .9Remember how easy 9ths were? 11th are easy in a similar way, assuming you know yourmultiples of 9:1/11 = .090909...2/11 = .181818...3/11 = .272727...4/11 = .363636...5/11 = .454545...6/11 = .545454...7/11 = .636363...8/11 = .727272...9/11 = .818181...10/11 = .909090...As long as you can remember the pattern for each fraction, it is quite simple to work out http://www.memorymentor.com/ © Memorymentor 2006. All Rights Reserved. Maths Tips and Tricks to Improve Your Math Abilities
  • 16. Page 16 of 18the decimal place as far as you want or need to go!Oh, I almost forgot! We havent done 7ths yet, have we?One-seventh is an interesting number:1/7 = .142857142857142857...For now, just think of one-seventh as: .142857See if you notice any pattern in the 7ths:1/7 = .142857...2/7 = .285714...3/7 = .428571...4/7 = .571428...5/7 = .714285...6/7 = .857142...Notice that the 6 digits in the 7ths ALWAYS stay in the same order and the starting digitis the only thing that changes!If you know your multiples of 14 up to 6, it isnt difficult to work out where to begin thedecimal number. Look at this:For 1/7, think "1 * 14", giving us .14 as the starting point.For 2/7, think "2 * 14", giving us .28 as the starting point.For 3/7, think "3 * 14", giving us .42 as the starting point.For 4/14, 5/14 and 6/14, youll have to adjust upward by 1:For 4/7, think "(4 * 14) + 1", giving us .57 as the starting point.For 5/7, think "(5 * 14) + 1", giving us .71 as the starting point.For 6/7, think "(6 * 14) + 1", giving us .85 as the starting point.Practice these, and youll have the decimal equivalents of everything from 1/2 to 10/11 atyour finger tips!If you want to demonstrate this skill to other people, and you know your multiplicationtables up to the hundreds for each number 1-9, then give them a calculator and ask for a2-digit number (3-digit number, if youre up to it!) to be divided by a 1-digit number.If they give you 96 divided by 7, for example, you can think, "Hmm... the closestmultiple of 7 is 91, which is 13 * 7, with 5 left over. So the answer is 13 and 5/7, or:13.7142857!" http://www.memorymentor.com/ © Memorymentor 2006. All Rights Reserved. Maths Tips and Tricks to Improve Your Math Abilities
  • 17. Page 17 of 18 Converting Kilometres to MilesThis is a useful method for when travelling between imperial and metric countries andneed to know what kilometres to miles are.The formula to convert kilometres to miles is number of (kilometres / 8 ) X 5So lets try 80 kilometres into miles80/8 = 10multiplied by 5 is 50 miles!Another example40 kilometres40 / 8 = 55 X 5= 25 miles http://www.memorymentor.com/ © Memorymentor 2006. All Rights Reserved. Maths Tips and Tricks to Improve Your Math Abilities
  • 18. Page 18 of 18 About Memorymentor.comThis ebook has been provided by Memorymentor.com and is FREE to you to distribute towhomever you wish. It must not be edited in anyway. You may give this ebook away aspart of your advertising campaigns but again, this ebook must stay in tact.Memorymentor promotes Memory improvement and Vedic Maths. We offer ebookcourses in Vedic Maths and our ebook has proved to be very popular for Parents wishingto give their child the edge in the classroom.For more information on our ebook, please visit http://vedic-maths-ebook.com/Make sure to Visit Memorymentor.com by clicking here http://www.memorymentor.com/ © Memorymentor 2006. All Rights Reserved. Maths Tips and Tricks to Improve Your Math Abilities